Boundary Control of Slender Beams under Deterministic and Stochastic Loads

Do, Khac Duc

doi:10.1115/1.4036071

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Authors

Do, Khac Duc

Date

2017

Type

Journal Article

Metadata

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Citation

Do, K.D. 2017. Boundary Control of Slender Beams under Deterministic and Stochastic Loads. Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME. 139 (9): Article ID 091012.

Source Title

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

DOI

10.1115/1.4036071

ISSN

0022-0434

School

School of Civil and Mechanical Engineering (CME)

URI

http://hdl.handle.net/20.500.11937/61235

Collection

Curtin Research Publications

Abstract

This paper first derives equations of motion of extensible and shearable slender beams with large motions under both deterministic and stochastic external loads. Boundary feedback controllers are then proposed to achieve almost surely globally practically asymptotic stability. The control design, well-posedness, and stability analysis are based on a Lyapunov-Type theorem developed for a class of stochastic evolution systems (SESs) in Hilbert space.